How do you solve 5^(2x + 3)\leq 125?

1 Answer
Mar 22, 2017

x<=0

Explanation:

We know that 5^3 = 125. Since 5^(2x+3) is less than or equal to 125, this must mean 2x + 3 is less than or equal to 3, as 2x+3 = 3 would give 125, and any power less than 3 would give a number less than 125.

Now, we have an inequality to solve:

2x+3 <= 3

2x <= 0

x <= 0

Therefore, we get the final answer to be x<=0.